A fifth problem type is where you are given an object like a bridge. You can create two zeros by placing a sketch on the x-axis, and you are given another point. From this you can find the equation that models the bridge and find the vertex.
A sixth type of problem uses the Pythagorean theorem.
UNIT TEST Wednesday April 28th, Vocabulary - roots, zeroes, parabola, quadratic, monic, complex, perfect square, difference of squares.
- second differences, know how to calculate and whether the graph opens up or down.
- Given Factored Form
find zeros
find equation of axis of symmetry
find vertex
draw an reasonably accurate graph
use FOIL to expand into standard form
find y-intercept (by expanding and using c as y-intercept)
find 'a' and know how it affects the direction of opening
Given a graph
finding the roots, vertex and axis of symmetry from a graph of a parabola
Given standard form
convert to factored form by factoring.
Solving quadratic relations to problem solve.
See the five types of problems in
3.11 Solving Quadratic Relations
Case 1: Solving quadratic equations with no linear term.Method: isolate the quadratic term and solve.
Case 2: Solving quadratic equations with a linear term.
Method: rearrange the equation so one side equals 0.
factor and solve.
Note that "finding the roots " means finding the zeros
HW:
p. 315 # 2agik, 3, 6de, 13, 17
3.12 Sample Problems.
A fifth problem type is where you are given an object like a bridge. You can create two zeros by placing a sketch on the x-axis, and you are given another point. From this you can find the equation that models the bridge and find the vertex.
A sixth type of problem uses the Pythagorean theorem.
UNIT TEST Wednesday April 28th,
Vocabulary - roots, zeroes, parabola, quadratic, monic, complex, perfect square, difference of squares.
- second differences, know how to calculate and whether the graph opens up or down.
- Given Factored Form
Given a graph
Given standard form
Solving quadratic relations to problem solve.
See the five types of problems in
Skills needed